Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

• Published in: Mathematical methods in the applied sciences Vol. 46; no. 7; pp. 7965 - 7986
• Main Authors: Abu Arqub, Omar, Singh, Jagdev, Maayah, Banan, Alhodaly, Mohammed
• Format: Journal Article
• Language: English
• Published: Freiburg Wiley Subscription Services, Inc 15.05.2023
• Subjects: Algorithms; Boundary value problems; characterization theorem; Differential equations; Fractional calculus; fuzzy ABC FFIVP; fuzzy ABC fractional derivative; fuzzy ABC solution; Hilbert space; Kernels; numerical analytical RKHSM; Operators (mathematics)

In this research study, fuzzy fractional differential equations in presence of the Atangana–Baleanu–Caputo differential operators are analytically and numerically treated using extended reproducing kernel Hilbert space technique. With the utilization of a fuzzy strongly generalized differentiability...